On Stochastic Shell Models of Turbulence
We prove existence of weak and strong solutions and uniqueness for a viscous dyadic model driven by additive white noise in time using a path-wise approach. Existence of invariant measures also established and a simple balance relation among the mean rates of energy injection, dissipation and flux is derived and we investigate the asymptotic exponents $\zeta_{p}$ of the $p$-order structure functions.
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Probability
